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Simplifying 5x + 12 + 4x + 11 = 2x + 2 Reorder the terms: 12 + 11 + 5x + 4x = 2x + 2 Combine like terms: 12 + 11 = 23 23 + 5x + 4x = 2x + 2 Combine like terms: 5x + 4x = 9x 23 + 9x = 2x + 2 Reorder the terms: 23 + 9x = 2 + 2x Solving 23 + 9x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + 9x + -2x = 2 + 2x + -2x Combine like terms: 9x + -2x = 7x 23 + 7x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + 7x = 2 + 0 23 + 7x = 2 Add '-23' to each side of the equation. 23 + -23 + 7x = 2 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 2 + -23 7x = 2 + -23 Combine like terms: 2 + -23 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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